Let {A}=(\table 1 ,0 ,0 ;0, \cos t ,\sin t ;0 , -\sin t, \cos t )Let \\lambda_{1}, \\lambda_{2}, \\lambda_{3} be the roots of {\det}(A-\\lambda I_{3})=0, where I_{3} denotes the identity matrix. If \\lambda_{1}+\\lambda_{2}+\\lambda_{3}=\\sqrt{2}+1, then the set of possible values of t,-\\pi \leq t

Correct Answer is : {−π4,π4}

\{-\frac{\\pi}{4}, \frac{\\pi}{4}\}

\{-\frac{\\pi}{3}, \frac{\\pi}{3}\}

WBJEE 2021 Math Solved Paper

Question : 17 of 75

Marks: +1, -0

Let A=(

)Let λ1,λ2,λ3 be the roots of det(A−λI3)=0, where I3 denotes the identity matrix. If λ1+λ2+λ3=√2+1, then the set of possible values of t,−π≤t<π is

Go to Question:

Prev Question

Next Question